More Factoring

Page
1

Slide 1

MORE

FACTORING

Slide 2

The Milligan Method

Here is another way to factor a quadratic.

***But always try GMF 1st!!***

1st term Last term

-24

-6

4

1

1

multiply across

- 6

+ 4

-2

add these numbers

this should be the middle term

+5

These are not the factors that work.

1st term Last term

-24

-8

3

1

1

- 8

+ 3

- 5

close, but we need +5

multiply across

Slide 3

1st term Last term

-24

1

1

8

-3

multiply across

8

+-3

5

YES!

(1y

(1y

-24

8)

-3)

This works!!

Put your parentheses and the variables in your answer.

(y + 8) (y - 3)

Remember check using the FOIL method

Slide 4

1st term. Last term

-24

-24

-24

(3a + 4)

(1a - 6)

3

1

-6

4

3

1

4

-6

multiply across

multiply across

1st term. Last term

-6

+12

6

add these numbers

this should be the middle term

-14

4

+-18

-14

These are not the factors that work.

YES!

This works!!

Put your parentheses and the variables in your answer.

(3a + 4) (a - 6)

Remember check using the FOIL method

Slide 5

1st term Last term

1st term Last term

+25

4

1

-5

-5

+25

2

2

-5

-5

multiply across

multiply across

add these numbers

this should be the middle term

-20

-5

+-20

-25

-10

+-10

-20

These are not the factors that work.

YES!

This works!!

+25

(2w -5)

(2w -5)

Put your parentheses and the variables in your answer.

Remember check using the FOIL method

(2w - 5) (2w - 5)

Slide 6

1st term. Last term

1st term. Last term

These are not the factors that work.

multiply across

multiply across

add these numbers

this should be the middle term

-9

YES!

This works!!

Put your parentheses and the variables in your answer.

Remember check using the FOIL method

+8

+8

+8

1

1

-4

-2

1

1

-8

-1

(x - 8)

(x - 1)

(x - 8) (x - 1)

8

+-20

-25

-5

+-20

-25

Slide 7

35

1st term. Last term

4

1

7

5

1st term. Last term